A0365
Title: Comparing aging patterns of k-out-of-n systems using second-order stochastic dominance
Authors: Tommaso Lando - University of Bergamo (Italy)
Paulo Oliveira - CWT - Turistrader - Sociedade de Desenvolvimento Turistico, Lda (Portugal)
idir Arab - Univeristy of Coimbra (Portugal) [presenting]
Abstract: The problem of comparing ageing patterns of k-out-of-n systems with i.i.d. components are explored using second-order stochastic dominance. The focus is on determining a stochastic ordering relationship between different order statistics and characterizing such relationships with respect to relative convexity. A hierarchy of reference functions is introduced that encompasses popular families of distributions, including increasing failure rate distributions. Sufficient dominance conditions are derived based on the identification of the class that includes the component lifetimes. The applicability of this method is discussed.
